36 citations · 69 across the 5 of their papers we have counts for
5 papers
Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws
I. Gómez-Bueno, E. D. Fernández-Nieto, S. Rubino
This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Emp…
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés +1
In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutio…
High-order well-balanced methods for systems of balance laws: a control-based approach
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés
In some previous works, two of the authors have introduced a strategy to develop high-order numerical methods for systems of balance laws that preserve all the stationary solutions…
A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations
C. Caballero-Cárdenas, I. Gómez-Bueno, A. del Grosso +2
When dealing with shallow water simulations, the velocity profile is often assumed to be constant along the vertical axis. However, since in many applications this is not the case,…
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
Irene Gómez-Bueno, Sebastiano Boscarino, Manuel Jesús Castro +2
The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two…